Using the 2D vantage point, the magnetic length scale competition allows for another topological characterization of the system. Specifically, each gap \(r\)  in the spectrum of this
model is associated with a quantized and nontrivial Chern number [1]}, [2]}, [3]}, [4]}, [5]}
\( \nu _r & =\frac{1}{2\pi i}\int _{0}^{2\pi }d\phi d\theta \, C_r(\theta ,\phi )\,,\) 
